15 citations · 26 across the 22 of their papers we have counts for
25 papers
Guessing about Guessing: Practical Strategies for Card Guessing with Feedback
Persi Diaconis, Ron Graham, Sam Spiro
In simple card games, cards are dealt one at a time and the player guesses each card sequentially. We study problems where feedback (e.g. correct/incorrect) is given after each gue…
Card Guessing with Partial Feedback
Persi Diaconis, Ron Graham, Xiaoyu He +1
Consider the following experiment: a deck with copies of different card types is randomly shuffled, and a guesser attempts to guess the cards sequentially as they are drawn…
Slow Fibonacci Walks
Fan Chung, Ron Graham, Sam Spiro
For a positive integer , we study the number of steps to reach by a {\it Fibonacci walk} for some starting pair and satisfying the recurrence of $a_{k+2}=a_{k+1}…
Juggling card sequences
Steve Butler, Fan Chung, Jay Cummings +1
Juggling patterns can be described by a sequence of cards which keep track of the relative order of the balls at each step. This interpretation has many algebraic and combinatorial…
Partition and sum is fast
Steve Butler, Ron Graham, Richard Stong
We consider the following "partition and sum" operation on a natural number: Treating the number as a long string of digits insert several plus signs in between some of the digits…
The mathematics of the flip and horseshoe shuffles
Steve Butler, Persi Diaconis, Ron Graham
We consider new types of perfect shuffles wherein a deck is split in half, one half of the deck is "reversed", and then the cards are interlaced. Flip shuffles are when the reversa…